| Thursday 25 April 2024 | |
| Events for day: Tuesday 15 November 2022 |
| 11:00 - 12:30 Technical Groups Meeting- Presentation About Alignment System (Vacuum Group) School ILSF List of ILSF Technical Groups Meeting ... 14:30 - 16:00 Algebraic Geometry Webinar The Hessian Map School MATHEMATICS In a joint work with C. Ciliberto we study the Hessian map h_{d,r} which associates to any hypersurface of degree d>=3 in P^r its Hessian hypersurface, which is the determinant of the Hessian matrix. We prove that h_{d,r} is generically finite unless h_{3,1}, and in the binary case h_{d,1} is birational onto its image if d>=5, which is sharp. We conjecture that h_{d,r} is birational onto its image unless h_{3,1}, h_{4,1} and h_{3,2}, these exceptional cases were well known in classical geometry. The first evidence for our conjecture is given by h_{3,3} (the case of cubic surfaces) which is again birational onto its image. |